The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations
We make use of the properties of the Sumudu transform to solve nonlinear fractional partial differential equations describing heat-like equation with variable coefficients. The method, namely, homotopy perturbation Sumudu transform method, is the combination of the Sumudu transform and the HPM using...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/737481 |
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| author | Abdon Atangana Adem Kılıçman |
| author_facet | Abdon Atangana Adem Kılıçman |
| author_sort | Abdon Atangana |
| collection | DOAJ |
| description | We make use of the properties of the Sumudu transform to solve nonlinear fractional partial differential equations describing heat-like equation with variable coefficients. The method, namely, homotopy perturbation Sumudu transform method, is the combination of the Sumudu transform and the HPM using He’s polynomials. This method is very powerful, and professional techniques for solving different kinds of linear and nonlinear fractional differential equations arising in different fields of science and engineering. |
| format | Article |
| id | doaj-art-f5fc3be5ed5445e4a75e6ca944cef831 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f5fc3be5ed5445e4a75e6ca944cef8312025-02-03T05:58:19ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/737481737481The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like EquationsAbdon Atangana0Adem Kılıçman1Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, 9300 Bloemfontein, South AfricaDepartment of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaWe make use of the properties of the Sumudu transform to solve nonlinear fractional partial differential equations describing heat-like equation with variable coefficients. The method, namely, homotopy perturbation Sumudu transform method, is the combination of the Sumudu transform and the HPM using He’s polynomials. This method is very powerful, and professional techniques for solving different kinds of linear and nonlinear fractional differential equations arising in different fields of science and engineering.http://dx.doi.org/10.1155/2013/737481 |
| spellingShingle | Abdon Atangana Adem Kılıçman The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations Abstract and Applied Analysis |
| title | The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations |
| title_full | The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations |
| title_fullStr | The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations |
| title_full_unstemmed | The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations |
| title_short | The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations |
| title_sort | use of sumudu transform for solving certain nonlinear fractional heat like equations |
| url | http://dx.doi.org/10.1155/2013/737481 |
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